%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV141^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:55:30 AM UTC 2026 % Result : Theorem 44.23s 44.49s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV141^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 18:15:33 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 44.23/44.49 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 44.23/44.49 % SZS status Theorem % 44.23/44.49 % SZS output start Proof % 44.23/44.49 ( % 44.23/44.49 (declare-sort tptp.a 0) % 44.23/44.49 (define @t1 () (@var "Xy1" tptp.a)) % 44.23/44.49 (define @t2 () (@var "Xx1" tptp.a)) % 44.23/44.49 (define @t3 () (@var "Xp1" (-> tptp.a tptp.a Bool))) % 44.23/44.49 (define @t4 () (_ (_ @t3 @t2) @t1)) % 44.23/44.49 (define @t5 () (@var "Xz" tptp.a)) % 44.23/44.49 (define @t6 () (@var "Xx" tptp.a)) % 44.23/44.49 (define @t7 () (_ @t3 @t6)) % 44.23/44.49 (define @t8 () (_ @t7 @t5)) % 44.23/44.49 (define @t9 () (@var "Xy" tptp.a)) % 44.23/44.49 (define @t10 () (_ (_ @t3 @t9) @t5)) % 44.23/44.49 (define @t11 () (_ @t7 @t9)) % 44.23/44.49 (define @t12 () (and @t11 @t10)) % 44.23/44.49 (define @t13 () (@list @t6 @t9 @t5)) % 44.23/44.49 (define @t14 () (forall @t13 (=> @t12 @t8))) % 44.23/44.49 (define @t15 () (@var "Xp10" (-> tptp.a tptp.a Bool))) % 44.23/44.49 (define @t16 () (_ (_ @t15 @t6) @t9)) % 44.23/44.49 (define @t17 () (@var "Xx0" tptp.a)) % 44.23/44.49 (define @t18 () (_ @t15 @t17)) % 44.23/44.49 (define @t19 () (_ @t18 @t5)) % 44.23/44.49 (define @t20 () (@var "Xy0" tptp.a)) % 44.23/44.49 (define @t21 () (_ (_ @t15 @t20) @t5)) % 44.23/44.49 (define @t22 () (_ @t18 @t20)) % 44.23/44.49 (define @t23 () (and @t22 @t21)) % 44.23/44.49 (define @t24 () (@list @t17 @t20 @t5)) % 44.23/44.49 (define @t25 () (forall @t24 (=> @t23 @t19))) % 44.23/44.49 (define @t26 () (@var "S" (-> tptp.a tptp.a Bool))) % 44.23/44.49 (define @t27 () (_ (_ @t26 @t17) @t20)) % 44.23/44.49 (define @t28 () (@list @t17 @t20)) % 44.23/44.49 (define @t29 () (forall @t28 (=> @t27 @t22))) % 44.23/44.49 (define @t30 () (and @t29 @t25)) % 44.23/44.49 (define @t31 () (=> @t30 @t16)) % 44.23/44.49 (define @t32 () (@list @t15)) % 44.23/44.49 (define @t33 () (forall @t32 @t31)) % 44.23/44.49 (define @t34 () (@var "R" (-> tptp.a tptp.a Bool))) % 44.23/44.49 (define @t35 () (_ (_ @t34 @t17) @t20)) % 44.23/44.49 (define @t36 () (forall @t28 (=> @t35 @t22))) % 44.23/44.49 (define @t37 () (and @t36 @t25)) % 44.23/44.49 (define @t38 () (=> @t37 @t16)) % 44.23/44.49 (define @t39 () (forall @t32 @t38)) % 44.23/44.49 (define @t40 () (or @t39 @t33)) % 44.23/44.49 (define @t41 () (=> @t40 @t11)) % 44.23/44.49 (define @t42 () (@list @t6 @t9)) % 44.23/44.49 (define @t43 () (forall @t42 @t41)) % 44.23/44.49 (define @t44 () (and @t43 @t14)) % 44.23/44.49 (define @t45 () (=> @t44 @t4)) % 44.23/44.49 (define @t46 () (@list @t3)) % 44.23/44.49 (define @t47 () (forall @t46 @t45)) % 44.23/44.49 (define @t48 () (@list @t2 @t1)) % 44.23/44.49 (define @t49 () (lambda @t48 @t47)) % 44.23/44.49 (define @t50 () (_ (_ @t26 @t6) @t9)) % 44.23/44.49 (define @t51 () (_ (_ @t34 @t6) @t9)) % 44.23/44.49 (define @t52 () (or @t51 @t50)) % 44.23/44.49 (define @t53 () (forall @t42 (=> @t52 @t11))) % 44.23/44.49 (define @t54 () (and @t53 @t14)) % 44.23/44.49 (define @t55 () (=> @t54 @t4)) % 44.23/44.49 (define @t56 () (forall @t46 @t55)) % 44.23/44.49 (define @t57 () (lambda @t48 @t56)) % 44.23/44.49 (define @t58 () (= @t57 @t49)) % 44.23/44.49 (define @t59 () (@list @t34 @t26)) % 44.23/44.49 (define @t60 () (forall @t59 @t58)) % 44.23/44.49 (define @t61 () (not @t60)) % 44.23/44.49 (define @t62 () (_ @t3 @t2 @t1)) % 44.23/44.49 (define @t63 () (_ @t3 @t6 @t5)) % 44.23/44.49 (define @t64 () (_ @t3 @t9 @t5)) % 44.23/44.49 (define @t65 () (_ @t3 @t6 @t9)) % 44.23/44.49 (define @t66 () (forall @t13 (or (not @t65) (not @t64) @t63))) % 44.23/44.49 (define @t67 () (not @t66)) % 44.23/44.49 (define @t68 () (_ @t15 @t6 @t9)) % 44.23/44.49 (define @t69 () (_ @t15 @t17 @t5)) % 44.23/44.49 (define @t70 () (_ @t15 @t20 @t5)) % 44.23/44.49 (define @t71 () (_ @t15 @t17 @t20)) % 44.23/44.49 (define @t72 () (forall @t24 (or (not @t71) (not @t70) @t69))) % 44.23/44.49 (define @t73 () (not @t72)) % 44.23/44.49 (define @t74 () (_ @t26 @t17 @t20)) % 44.23/44.49 (define @t75 () (forall @t28 (or (not @t74) @t71))) % 44.23/44.49 (define @t76 () (not @t75)) % 44.23/44.49 (define @t77 () (forall @t32 (or @t76 @t73 @t68))) % 44.23/44.49 (define @t78 () (_ @t34 @t17 @t20)) % 44.23/44.49 (define @t79 () (forall @t28 (or (not @t78) @t71))) % 44.23/44.49 (define @t80 () (not @t79)) % 44.23/44.49 (define @t81 () (forall @t32 (or @t80 @t73 @t68))) % 44.23/44.49 (define @t82 () (and (not @t81) (not @t77))) % 44.23/44.49 (define @t83 () (forall @t42 (or @t82 @t65))) % 44.23/44.49 (define @t84 () (not @t83)) % 44.23/44.49 (define @t85 () (or @t84 @t67 @t4)) % 44.23/44.49 (define @t86 () (and @t83 @t66)) % 44.23/44.49 (define @t87 () (not @t10)) % 44.23/44.49 (define @t88 () (not @t11)) % 44.23/44.49 (define @t89 () (or @t88 @t87 @t8)) % 44.23/44.49 (define @t90 () (or @t82 @t11)) % 44.23/44.49 (define @t91 () (or @t81 @t77)) % 44.23/44.49 (define @t92 () (or @t76 @t73 @t16)) % 44.23/44.49 (define @t93 () (and @t75 @t72)) % 44.23/44.49 (define @t94 () (not @t21)) % 44.23/44.49 (define @t95 () (not @t22)) % 44.23/44.49 (define @t96 () (or @t95 @t94 @t19)) % 44.23/44.49 (define @t97 () (not @t27)) % 44.23/44.49 (define @t98 () (or @t97 @t22)) % 44.23/44.49 (define @t99 () (or @t80 @t73 @t16)) % 44.23/44.49 (define @t100 () (and @t79 @t72)) % 44.23/44.49 (define @t101 () (not @t35)) % 44.23/44.49 (define @t102 () (or @t101 @t22)) % 44.23/44.49 (define @t103 () (_ @t26 @t6 @t9)) % 44.23/44.49 (define @t104 () (_ @t34 @t6 @t9)) % 44.23/44.49 (define @t105 () (forall @t42 (or (and (not @t104) (not @t103)) @t65))) % 44.23/44.49 (define @t106 () (not @t105)) % 44.23/44.49 (define @t107 () (or @t106 @t67 @t4)) % 44.23/44.49 (define @t108 () (and @t105 @t66)) % 44.23/44.49 (define @t109 () (not @t50)) % 44.23/44.49 (define @t110 () (not @t51)) % 44.23/44.49 (define @t111 () (and @t110 @t109)) % 44.23/44.49 (define @t112 () (or @t111 @t11)) % 44.23/44.49 (define @t113 () (forall @t59 (= (lambda @t48 (forall @t46 (or @t106 @t67 @t62))) (lambda @t48 (forall @t46 (or @t84 @t67 @t62)))))) % 44.23/44.49 (define @t114 () (@quantifiers_skolemize @t113 1)) % 44.23/44.49 (define @t115 () (@quantifiers_skolemize @t113 0)) % 44.23/44.49 (define @t116 () (and (not (_ @t115 @t6 @t9)) (not (_ @t114 @t6 @t9)))) % 44.23/44.49 (define @t117 () (not (forall @t42 (or @t116 @t65)))) % 44.23/44.49 (define @t118 () (lambda @t48 (forall @t46 (or @t117 @t67 @t62)))) % 44.23/44.49 (define @t119 () (@purify @t118)) % 44.23/44.49 (define @t120 () (not (_ @t114 @t17 @t20))) % 44.23/44.49 (define @t121 () (not (forall @t28 (or @t120 @t71)))) % 44.23/44.49 (define @t122 () (not (_ @t115 @t17 @t20))) % 44.23/44.49 (define @t123 () (not (forall @t28 (or @t122 @t71)))) % 44.23/44.49 (define @t124 () (and (not (forall @t32 (or @t123 @t73 @t68))) (not (forall @t32 (or @t121 @t73 @t68))))) % 44.23/44.49 (define @t125 () (not (forall @t42 (or @t124 @t65)))) % 44.23/44.49 (define @t126 () (lambda @t48 (forall @t46 (or @t125 @t67 @t62)))) % 44.23/44.49 (define @t127 () (@purify @t126)) % 44.23/44.49 (define @t128 () (= @t127 @t119)) % 44.23/44.49 (define @t129 () (not @t128)) % 44.23/44.49 (define @t130 () (not @t113)) % 44.23/44.49 (define @t131 () (= @t118 @t126)) % 44.23/44.49 (define @t132 () (not @t131)) % 44.23/44.49 (define @t133 () (@list true)) % 44.23/44.49 (define @t134 () (@const 0 tptp.a)) % 44.23/44.49 (define @t135 () (@const 1 tptp.a)) % 44.23/44.49 (define @t136 () (_ @t3 @t135 @t134)) % 44.23/44.49 (define @t137 () (forall @t46 (or @t125 @t67 @t136))) % 44.23/44.49 (define @t138 () (forall @t46 (or @t117 @t67 @t136))) % 44.23/44.49 (define @t139 () (_ @t118 @t135 @t134)) % 44.23/44.49 (define @t140 () (_ @t119 @t135 @t134)) % 44.23/44.49 (define @t141 () (_ @t126 @t135 @t134)) % 44.23/44.49 (define @t142 () (_ @t127 @t135 @t134)) % 44.23/44.49 (define @t143 () (= @t142 @t140)) % 44.23/44.49 (define @t144 () (not @t143)) % 44.23/44.49 (define @t145 () (or @t128 @t144)) % 44.23/44.49 (define @t146 () (= @t138 @t137)) % 44.23/44.49 (define @t147 () (@quantifiers_skolemize @t137 0)) % 44.23/44.49 (define @t148 () (_ @t147 @t135 @t134)) % 44.23/44.49 (define @t149 () (_ @t147 @t6 @t9)) % 44.23/44.49 (define @t150 () (forall @t13 (or (not @t149) (not (_ @t147 @t9 @t5)) (_ @t147 @t6 @t5)))) % 44.23/44.49 (define @t151 () (not @t150)) % 44.23/44.49 (define @t152 () (forall @t42 (or @t116 @t149))) % 44.23/44.49 (define @t153 () (not @t152)) % 44.23/44.49 (define @t154 () (or @t153 @t151 @t148)) % 44.23/44.49 (define @t155 () (forall @t42 (or @t124 @t149))) % 44.23/44.49 (define @t156 () (not @t155)) % 44.23/44.49 (define @t157 () (or @t156 @t151 @t148)) % 44.23/44.49 (define @t158 () (not @t157)) % 44.23/44.49 (define @t159 () (not @t137)) % 44.23/44.49 (define @t160 () (@quantifiers_skolemize @t152 1)) % 44.23/44.49 (define @t161 () (@quantifiers_skolemize @t152 0)) % 44.23/44.49 (define @t162 () (@list @t161 @t160)) % 44.23/44.49 (define @t163 () (_ @t147 @t161 @t160)) % 44.23/44.49 (define @t164 () (_ @t15 @t161 @t160)) % 44.23/44.49 (define @t165 () (forall @t32 (or @t121 @t73 @t164))) % 44.23/44.49 (define @t166 () (not @t165)) % 44.23/44.49 (define @t167 () (forall @t32 (or @t123 @t73 @t164))) % 44.23/44.49 (define @t168 () (not @t167)) % 44.23/44.49 (define @t169 () (and @t168 @t166)) % 44.23/44.49 (define @t170 () (or @t169 @t163)) % 44.23/44.49 (define @t171 () (_ @t114 @t161 @t160)) % 44.23/44.49 (define @t172 () (not @t171)) % 44.23/44.49 (define @t173 () (_ @t115 @t161 @t160)) % 44.23/44.49 (define @t174 () (not @t173)) % 44.23/44.49 (define @t175 () (and @t174 @t172)) % 44.23/44.49 (define @t176 () (or @t175 @t163)) % 44.23/44.49 (define @t177 () (not @t176)) % 44.23/44.49 (define @t178 () (not @t169)) % 44.23/44.49 (define @t179 () (@quantifiers_skolemize @t167 0)) % 44.23/44.49 (define @t180 () (_ @t179 @t161 @t160)) % 44.23/44.49 (define @t181 () (_ @t179 @t17 @t20)) % 44.23/44.49 (define @t182 () (forall @t28 (or @t122 @t181))) % 44.23/44.49 (define @t183 () (not @t182)) % 44.23/44.49 (define @t184 () (or @t183 (not (forall @t24 (or (not @t181) (not (_ @t179 @t20 @t5)) (_ @t179 @t17 @t5)))) @t180)) % 44.23/44.49 (define @t185 () (not @t184)) % 44.23/44.49 (define @t186 () (@quantifiers_skolemize @t165 0)) % 44.23/44.49 (define @t187 () (_ @t186 @t161 @t160)) % 44.23/44.49 (define @t188 () (_ @t186 @t17 @t20)) % 44.23/44.49 (define @t189 () (forall @t28 (or @t120 @t188))) % 44.23/44.49 (define @t190 () (not @t189)) % 44.23/44.49 (define @t191 () (or @t190 (not (forall @t24 (or (not @t188) (not (_ @t186 @t20 @t5)) (_ @t186 @t17 @t5)))) @t187)) % 44.23/44.49 (define @t192 () (not @t191)) % 44.23/44.49 (define @t193 () (or @t174 @t180)) % 44.23/44.49 (define @t194 () (or @t172 @t187)) % 44.23/44.49 (define @t195 () (not @t138)) % 44.23/44.49 (define @t196 () (@list true true)) % 44.23/44.49 (define @t197 () (@quantifiers_skolemize @t138 0)) % 44.23/44.49 (define @t198 () (@list @t197)) % 44.23/44.49 (define @t199 () (_ @t197 @t135 @t134)) % 44.23/44.49 (define @t200 () (_ @t197 @t6 @t9)) % 44.23/44.49 (define @t201 () (forall @t13 (or (not @t200) (not (_ @t197 @t9 @t5)) (_ @t197 @t6 @t5)))) % 44.23/44.49 (define @t202 () (not @t201)) % 44.23/44.49 (define @t203 () (forall @t42 (or @t124 @t200))) % 44.23/44.49 (define @t204 () (not @t203)) % 44.23/44.49 (define @t205 () (or @t204 @t202 @t199)) % 44.23/44.49 (define @t206 () (@list false)) % 44.23/44.49 (define @t207 () (forall @t42 (or @t116 @t200))) % 44.23/44.49 (define @t208 () (not @t207)) % 44.23/44.49 (define @t209 () (or @t208 @t202 @t199)) % 44.23/44.49 (define @t210 () (not @t209)) % 44.23/44.49 (define @t211 () (@list @t209)) % 44.23/44.49 (define @t212 () (@quantifiers_skolemize @t203 1)) % 44.23/44.49 (define @t213 () (@quantifiers_skolemize @t203 0)) % 44.23/44.49 (define @t214 () (_ @t197 @t213 @t212)) % 44.23/44.49 (define @t215 () (_ @t15 @t213 @t212)) % 44.23/44.49 (define @t216 () (forall @t32 (or @t121 @t73 @t215))) % 44.23/44.49 (define @t217 () (not @t216)) % 44.23/44.49 (define @t218 () (forall @t32 (or @t123 @t73 @t215))) % 44.23/44.49 (define @t219 () (not @t218)) % 44.23/44.49 (define @t220 () (and @t219 @t217)) % 44.23/44.49 (define @t221 () (or @t220 @t214)) % 44.23/44.49 (define @t222 () (not @t221)) % 44.23/44.49 (define @t223 () (@list @t221)) % 44.23/44.49 (define @t224 () (@var "BOUND_VARIABLE_215508" tptp.a)) % 44.23/44.49 (define @t225 () (@var "BOUND_VARIABLE_215506" tptp.a)) % 44.23/44.49 (define @t226 () (@var "BOUND_VARIABLE_215507" tptp.a)) % 44.23/44.49 (define @t227 () (@list @t225 @t226 @t224)) % 44.23/44.49 (define @t228 () (_ @t197 @t17 @t20)) % 44.23/44.49 (define @t229 () (forall @t24 (or (not @t228) (not (_ @t197 @t20 @t5)) (_ @t197 @t17 @t5)))) % 44.23/44.49 (define @t230 () (forall @t28 (or @t122 @t228))) % 44.23/44.49 (define @t231 () (@quantifiers_skolemize @t230 1)) % 44.23/44.49 (define @t232 () (@quantifiers_skolemize @t230 0)) % 44.23/44.49 (define @t233 () (_ @t115 @t232 @t231)) % 44.23/44.49 (define @t234 () (_ @t197 @t232 @t231)) % 44.23/44.49 (define @t235 () (not @t233)) % 44.23/44.49 (define @t236 () (or @t235 @t234)) % 44.23/44.49 (define @t237 () (and @t235 (not (_ @t114 @t232 @t231)))) % 44.23/44.49 (define @t238 () (or @t237 @t234)) % 44.23/44.49 (define @t239 () (@list @t207)) % 44.23/44.49 (define @t240 () (@list false true true false)) % 44.23/44.49 (define @t241 () (not @t236)) % 44.23/44.49 (define @t242 () (not @t230)) % 44.23/44.49 (define @t243 () (not @t229)) % 44.23/44.49 (define @t244 () (or @t242 @t243 @t214)) % 44.23/44.49 (define @t245 () (not @t244)) % 44.23/44.49 (define @t246 () (@list false false true)) % 44.23/44.49 (define @t247 () (forall @t28 (or @t120 @t228))) % 44.23/44.49 (define @t248 () (@quantifiers_skolemize @t247 1)) % 44.23/44.49 (define @t249 () (@quantifiers_skolemize @t247 0)) % 44.23/44.49 (define @t250 () (_ @t114 @t249 @t248)) % 44.23/44.49 (define @t251 () (_ @t197 @t249 @t248)) % 44.23/44.49 (define @t252 () (not @t250)) % 44.23/44.49 (define @t253 () (or @t252 @t251)) % 44.23/44.49 (define @t254 () (and (not (_ @t115 @t249 @t248)) @t252)) % 44.23/44.49 (define @t255 () (or @t254 @t251)) % 44.23/44.49 (define @t256 () (not @t253)) % 44.23/44.49 (define @t257 () (not @t247)) % 44.23/44.49 (define @t258 () (or @t257 @t243 @t214)) % 44.23/44.49 (define @t259 () (not @t258)) % 44.23/44.49 (assume @p1 @t61) % 44.23/44.49 (assume @p2 true) % 44.23/44.49 (step @p3 :rule refl :args (@t62)) % 44.23/44.49 (step @p4 :rule refl :args (@t4)) % 44.23/44.49 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t4 @t62))) % 44.23/44.49 (step @p6 :rule symm :premises (@p5)) % 44.23/44.49 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 44.23/44.49 (step @p8 :rule refl :args (@t67)) % 44.23/44.49 (step @p9 :rule refl :args (@t84)) % 44.23/44.49 (step @p10 :rule nary_cong :premises (@p9 @p8 @p7) :args (@t85)) % 44.23/44.49 (step @p11 :rule cong :premises (@p10) :args ((forall @t46 @t85))) % 44.23/44.49 (step @p12 :rule aci_norm :args ((= (or (or @t84 @t67) @t4) @t85))) % 44.23/44.49 (step @p13 :rule bool-and-de-morgan :args (@t83 @t66 true)) % 44.23/44.49 (step @p14 :rule nary_cong :premises (@p13 @p4) :args ((or (not @t86) @t4))) % 44.23/44.49 (step @p15 :rule trans :premises (@p14 @p12)) % 44.23/44.49 (step @p16 :rule bool-impl-elim :args (@t86 @t4)) % 44.23/44.49 (step @p17 :rule trans :premises (@p16 @p15)) % 44.23/44.49 (step @p18 :rule cong :premises (@p17) :args ((forall @t46 (=> @t86 @t4)))) % 44.23/44.49 (step @p19 :rule trans :premises (@p18 @p11)) % 44.23/44.49 (step @p20 :rule refl :args (@t4)) % 44.23/44.49 (step @p21 :rule refl :args (@t63)) % 44.23/44.49 (step @p22 :rule refl :args (@t8)) % 44.23/44.49 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t8 @t63))) % 44.23/44.49 (step @p24 :rule symm :premises (@p23)) % 44.23/44.49 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 44.23/44.49 (step @p26 :rule refl :args (@t64)) % 44.23/44.49 (step @p27 :rule refl :args (@t10)) % 44.23/44.49 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t10 @t64))) % 44.23/44.49 (step @p29 :rule symm :premises (@p28)) % 44.23/44.49 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 44.23/44.49 (step @p31 :rule cong :premises (@p30) :args (@t87)) % 44.23/44.49 (step @p32 :rule refl :args (@t65)) % 44.23/44.49 (step @p33 :rule refl :args (@t11)) % 44.23/44.49 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t11 @t65))) % 44.23/44.49 (step @p35 :rule symm :premises (@p34)) % 44.23/44.49 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 44.23/44.49 (step @p37 :rule cong :premises (@p36) :args (@t88)) % 44.23/44.49 (step @p38 :rule nary_cong :premises (@p37 @p31 @p25) :args (@t89)) % 44.23/44.49 (step @p39 :rule cong :premises (@p38) :args ((forall @t13 @t89))) % 44.23/44.49 (step @p40 :rule aci_norm :args ((= (or (or @t88 @t87) @t8) @t89))) % 44.23/44.49 (step @p41 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 44.23/44.49 (step @p42 :rule nary_cong :premises (@p41 @p22) :args ((or (not @t12) @t8))) % 44.23/44.49 (step @p43 :rule trans :premises (@p42 @p40)) % 44.23/44.49 (step @p44 :rule bool-impl-elim :args (@t12 @t8)) % 44.23/44.49 (step @p45 :rule trans :premises (@p44 @p43)) % 44.23/44.49 (step @p46 :rule cong :premises (@p45) :args (@t14)) % 44.23/44.49 (step @p47 :rule trans :premises (@p46 @p39)) % 44.23/44.49 (step @p48 :rule refl :args (@t82)) % 44.23/44.49 (step @p49 :rule nary_cong :premises (@p48 @p36) :args (@t90)) % 44.23/44.49 (step @p50 :rule cong :premises (@p49) :args ((forall @t42 @t90))) % 44.23/44.49 (step @p51 :rule bool-or-de-morgan :args (@t81 @t77 false)) % 44.23/44.49 (step @p52 :rule nary_cong :premises (@p51 @p33) :args ((or (not @t91) @t11))) % 44.23/44.49 (step @p53 :rule bool-impl-elim :args (@t91 @t11)) % 44.23/44.49 (step @p54 :rule trans :premises (@p53 @p52)) % 44.23/44.49 (step @p55 :rule cong :premises (@p54) :args ((forall @t42 (=> @t91 @t11)))) % 44.23/44.49 (step @p56 :rule trans :premises (@p55 @p50)) % 44.23/44.49 (step @p57 :rule refl :args (@t11)) % 44.23/44.49 (step @p58 :rule refl :args (@t68)) % 44.23/44.49 (step @p59 :rule refl :args (@t16)) % 44.23/44.49 (step @p60 :rule cong :premises (@p59 @p58) :args ((= @t16 @t68))) % 44.23/44.49 (step @p61 :rule symm :premises (@p60)) % 44.23/44.49 (step @p62 :rule eq_resolve :premises (@p59 @p61)) % 44.23/44.49 (step @p63 :rule refl :args (@t73)) % 44.23/44.49 (step @p64 :rule refl :args (@t76)) % 44.23/44.49 (step @p65 :rule nary_cong :premises (@p64 @p63 @p62) :args (@t92)) % 44.23/44.49 (step @p66 :rule cong :premises (@p65) :args ((forall @t32 @t92))) % 44.23/44.49 (step @p67 :rule aci_norm :args ((= (or (or @t76 @t73) @t16) @t92))) % 44.23/44.49 (step @p68 :rule bool-and-de-morgan :args (@t75 @t72 true)) % 44.23/44.49 (step @p69 :rule nary_cong :premises (@p68 @p59) :args ((or (not @t93) @t16))) % 44.23/44.49 (step @p70 :rule trans :premises (@p69 @p67)) % 44.23/44.49 (step @p71 :rule bool-impl-elim :args (@t93 @t16)) % 44.23/44.49 (step @p72 :rule trans :premises (@p71 @p70)) % 44.23/44.49 (step @p73 :rule cong :premises (@p72) :args ((forall @t32 (=> @t93 @t16)))) % 44.23/44.49 (step @p74 :rule trans :premises (@p73 @p66)) % 44.23/44.49 (step @p75 :rule refl :args (@t16)) % 44.23/44.49 (step @p76 :rule refl :args (@t69)) % 44.23/44.49 (step @p77 :rule refl :args (@t19)) % 44.23/44.49 (step @p78 :rule cong :premises (@p77 @p76) :args ((= @t19 @t69))) % 44.23/44.49 (step @p79 :rule symm :premises (@p78)) % 44.23/44.49 (step @p80 :rule eq_resolve :premises (@p77 @p79)) % 44.23/44.49 (step @p81 :rule refl :args (@t70)) % 44.23/44.49 (step @p82 :rule refl :args (@t21)) % 44.23/44.49 (step @p83 :rule cong :premises (@p82 @p81) :args ((= @t21 @t70))) % 44.23/44.49 (step @p84 :rule symm :premises (@p83)) % 44.23/44.49 (step @p85 :rule eq_resolve :premises (@p82 @p84)) % 44.23/44.49 (step @p86 :rule cong :premises (@p85) :args (@t94)) % 44.23/44.49 (step @p87 :rule refl :args (@t71)) % 44.23/44.49 (step @p88 :rule refl :args (@t22)) % 44.23/44.49 (step @p89 :rule cong :premises (@p88 @p87) :args ((= @t22 @t71))) % 44.23/44.49 (step @p90 :rule symm :premises (@p89)) % 44.23/44.49 (step @p91 :rule eq_resolve :premises (@p88 @p90)) % 44.23/44.49 (step @p92 :rule cong :premises (@p91) :args (@t95)) % 44.23/44.49 (step @p93 :rule nary_cong :premises (@p92 @p86 @p80) :args (@t96)) % 44.23/44.49 (step @p94 :rule cong :premises (@p93) :args ((forall @t24 @t96))) % 44.23/44.49 (step @p95 :rule aci_norm :args ((= (or (or @t95 @t94) @t19) @t96))) % 44.23/44.49 (step @p96 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 44.23/44.49 (step @p97 :rule nary_cong :premises (@p96 @p77) :args ((or (not @t23) @t19))) % 44.23/44.49 (step @p98 :rule trans :premises (@p97 @p95)) % 44.23/44.49 (step @p99 :rule bool-impl-elim :args (@t23 @t19)) % 44.23/44.49 (step @p100 :rule trans :premises (@p99 @p98)) % 44.23/44.49 (step @p101 :rule cong :premises (@p100) :args (@t25)) % 44.23/44.49 (step @p102 :rule trans :premises (@p101 @p94)) % 44.23/44.49 (step @p103 :rule refl :args (@t74)) % 44.23/44.49 (step @p104 :rule refl :args (@t27)) % 44.23/44.49 (step @p105 :rule cong :premises (@p104 @p103) :args ((= @t27 @t74))) % 44.23/44.49 (step @p106 :rule symm :premises (@p105)) % 44.23/44.49 (step @p107 :rule eq_resolve :premises (@p104 @p106)) % 44.23/44.49 (step @p108 :rule cong :premises (@p107) :args (@t97)) % 44.23/44.49 (step @p109 :rule nary_cong :premises (@p108 @p91) :args (@t98)) % 44.23/44.49 (step @p110 :rule cong :premises (@p109) :args ((forall @t28 @t98))) % 44.23/44.49 (step @p111 :rule bool-impl-elim :args (@t27 @t22)) % 44.23/44.49 (step @p112 :rule cong :premises (@p111) :args (@t29)) % 44.23/44.49 (step @p113 :rule trans :premises (@p112 @p110)) % 44.23/44.49 (step @p114 :rule nary_cong :premises (@p113 @p102) :args (@t30)) % 44.23/44.49 (step @p115 :rule cong :premises (@p114 @p75) :args (@t31)) % 44.23/44.49 (step @p116 :rule cong :premises (@p115) :args (@t33)) % 44.23/44.49 (step @p117 :rule trans :premises (@p116 @p74)) % 44.23/44.49 (step @p118 :rule refl :args (@t80)) % 44.23/44.49 (step @p119 :rule nary_cong :premises (@p118 @p63 @p62) :args (@t99)) % 44.23/44.49 (step @p120 :rule cong :premises (@p119) :args ((forall @t32 @t99))) % 44.23/44.49 (step @p121 :rule aci_norm :args ((= (or (or @t80 @t73) @t16) @t99))) % 44.23/44.49 (step @p122 :rule bool-and-de-morgan :args (@t79 @t72 true)) % 44.23/44.49 (step @p123 :rule nary_cong :premises (@p122 @p59) :args ((or (not @t100) @t16))) % 44.23/44.49 (step @p124 :rule trans :premises (@p123 @p121)) % 44.23/44.49 (step @p125 :rule bool-impl-elim :args (@t100 @t16)) % 44.23/44.49 (step @p126 :rule trans :premises (@p125 @p124)) % 44.23/44.49 (step @p127 :rule cong :premises (@p126) :args ((forall @t32 (=> @t100 @t16)))) % 44.23/44.49 (step @p128 :rule trans :premises (@p127 @p120)) % 44.23/44.49 (step @p129 :rule refl :args (@t78)) % 44.23/44.49 (step @p130 :rule refl :args (@t35)) % 44.23/44.49 (step @p131 :rule cong :premises (@p130 @p129) :args ((= @t35 @t78))) % 44.23/44.49 (step @p132 :rule symm :premises (@p131)) % 44.23/44.49 (step @p133 :rule eq_resolve :premises (@p130 @p132)) % 44.23/44.49 (step @p134 :rule cong :premises (@p133) :args (@t101)) % 44.23/44.49 (step @p135 :rule nary_cong :premises (@p134 @p91) :args (@t102)) % 44.23/44.49 (step @p136 :rule cong :premises (@p135) :args ((forall @t28 @t102))) % 44.23/44.49 (step @p137 :rule bool-impl-elim :args (@t35 @t22)) % 44.23/44.49 (step @p138 :rule cong :premises (@p137) :args (@t36)) % 44.23/44.49 (step @p139 :rule trans :premises (@p138 @p136)) % 44.23/44.49 (step @p140 :rule nary_cong :premises (@p139 @p102) :args (@t37)) % 44.23/44.49 (step @p141 :rule cong :premises (@p140 @p75) :args (@t38)) % 44.23/44.49 (step @p142 :rule cong :premises (@p141) :args (@t39)) % 44.23/44.49 (step @p143 :rule trans :premises (@p142 @p128)) % 44.23/44.49 (step @p144 :rule nary_cong :premises (@p143 @p117) :args (@t40)) % 44.23/44.49 (step @p145 :rule cong :premises (@p144 @p57) :args (@t41)) % 44.23/44.49 (step @p146 :rule cong :premises (@p145) :args (@t43)) % 44.23/44.49 (step @p147 :rule trans :premises (@p146 @p56)) % 44.23/44.49 (step @p148 :rule nary_cong :premises (@p147 @p47) :args (@t44)) % 44.23/44.49 (step @p149 :rule cong :premises (@p148 @p20) :args (@t45)) % 44.23/44.49 (step @p150 :rule cong :premises (@p149) :args (@t47)) % 44.23/44.49 (step @p151 :rule trans :premises (@p150 @p19)) % 44.23/44.49 (step @p152 :rule cong :premises (@p151) :args (@t49)) % 44.23/44.49 (step @p153 :rule refl :args (@t106)) % 44.23/44.49 (step @p154 :rule nary_cong :premises (@p153 @p8 @p7) :args (@t107)) % 44.23/44.49 (step @p155 :rule cong :premises (@p154) :args ((forall @t46 @t107))) % 44.23/44.49 (step @p156 :rule aci_norm :args ((= (or (or @t106 @t67) @t4) @t107))) % 44.23/44.49 (step @p157 :rule bool-and-de-morgan :args (@t105 @t66 true)) % 44.23/44.49 (step @p158 :rule nary_cong :premises (@p157 @p4) :args ((or (not @t108) @t4))) % 44.23/44.49 (step @p159 :rule trans :premises (@p158 @p156)) % 44.23/44.49 (step @p160 :rule bool-impl-elim :args (@t108 @t4)) % 44.23/44.49 (step @p161 :rule trans :premises (@p160 @p159)) % 44.23/44.49 (step @p162 :rule cong :premises (@p161) :args ((forall @t46 (=> @t108 @t4)))) % 44.23/44.49 (step @p163 :rule trans :premises (@p162 @p155)) % 44.23/44.49 (step @p164 :rule refl :args (@t103)) % 44.23/44.49 (step @p165 :rule refl :args (@t50)) % 44.23/44.49 (step @p166 :rule cong :premises (@p165 @p164) :args ((= @t50 @t103))) % 44.23/44.49 (step @p167 :rule symm :premises (@p166)) % 44.23/44.49 (step @p168 :rule eq_resolve :premises (@p165 @p167)) % 44.23/44.49 (step @p169 :rule cong :premises (@p168) :args (@t109)) % 44.23/44.49 (step @p170 :rule refl :args (@t104)) % 44.23/44.49 (step @p171 :rule refl :args (@t51)) % 44.23/44.49 (step @p172 :rule cong :premises (@p171 @p170) :args ((= @t51 @t104))) % 44.23/44.49 (step @p173 :rule symm :premises (@p172)) % 44.23/44.49 (step @p174 :rule eq_resolve :premises (@p171 @p173)) % 44.23/44.49 (step @p175 :rule cong :premises (@p174) :args (@t110)) % 44.23/44.49 (step @p176 :rule nary_cong :premises (@p175 @p169) :args (@t111)) % 44.23/44.49 (step @p177 :rule nary_cong :premises (@p176 @p36) :args (@t112)) % 44.23/44.49 (step @p178 :rule cong :premises (@p177) :args ((forall @t42 @t112))) % 44.23/44.49 (step @p179 :rule bool-or-de-morgan :args (@t51 @t50 false)) % 44.23/44.49 (step @p180 :rule nary_cong :premises (@p179 @p33) :args ((or (not @t52) @t11))) % 44.23/44.49 (step @p181 :rule bool-impl-elim :args (@t52 @t11)) % 44.23/44.49 (step @p182 :rule trans :premises (@p181 @p180)) % 44.23/44.49 (step @p183 :rule cong :premises (@p182) :args (@t53)) % 44.23/44.49 (step @p184 :rule trans :premises (@p183 @p178)) % 44.23/44.49 (step @p185 :rule nary_cong :premises (@p184 @p47) :args (@t54)) % 44.23/44.49 (step @p186 :rule cong :premises (@p185 @p20) :args (@t55)) % 44.23/44.49 (step @p187 :rule cong :premises (@p186) :args (@t56)) % 44.23/44.49 (step @p188 :rule trans :premises (@p187 @p163)) % 44.23/44.49 (step @p189 :rule cong :premises (@p188) :args (@t57)) % 44.23/44.49 (step @p190 :rule cong :premises (@p189 @p152) :args (@t58)) % 44.23/44.49 (step @p191 :rule cong :premises (@p190) :args (@t60)) % 44.23/44.49 (step @p192 :rule cong :premises (@p191) :args (@t61)) % 44.23/44.49 (step @p193 :rule eq_resolve :premises (@p1 @p192)) % 44.23/44.49 (step @p194 :rule refl :args (@t129)) % 44.23/44.49 (step @p195 :rule bool-double-not-elim :args (@t113)) % 44.23/44.49 (step @p196 :rule nary_cong :premises (@p195 @p194) :args ((or (not @t130) @t129))) % 44.23/44.49 (step @p197 :rule eq-symm :args (@t119 @t127)) % 44.23/44.49 (step @p198 :rule eq-refl :args (@t126)) % 44.23/44.49 (step @p199 :rule skolem_intro :args (@t127)) % 44.23/44.49 (step @p200 :rule refl :args (@t126)) % 44.23/44.49 (step @p201 :rule cong :premises (@p200 @p199) :args ((= @t126 @t127))) % 44.23/44.49 (step @p202 :rule trans :premises (@p201 @p198)) % 44.23/44.49 (step @p203 :rule true_elim :premises (@p202)) % 44.23/44.49 (step @p204 :rule eq-refl :args (@t118)) % 44.23/44.49 (step @p205 :rule skolem_intro :args (@t119)) % 44.23/44.49 (step @p206 :rule refl :args (@t118)) % 44.23/44.49 (step @p207 :rule cong :premises (@p206 @p205) :args ((= @t118 @t119))) % 44.23/44.49 (step @p208 :rule trans :premises (@p207 @p204)) % 44.23/44.49 (step @p209 :rule true_elim :premises (@p208)) % 44.23/44.49 (step @p210 :rule cong :premises (@p209 @p203) :args (@t131)) % 44.23/44.49 (step @p211 :rule trans :premises (@p210 @p197)) % 44.23/44.49 (step @p212 :rule cong :premises (@p211) :args (@t132)) % 44.23/44.49 (step @p213 :rule refl :args (@t130)) % 44.23/44.49 (step @p214 :rule cong :premises (@p213 @p212) :args ((=> @t130 @t132))) % 44.23/44.49 (assume-push @p499 @t130) % 44.23/44.49 (step @p216 :rule skolemize :premises (@p193)) % 44.23/44.49 (step-pop @p500 :rule scope :premises (@p216)) % 44.23/44.49 (step @p217 :rule process_scope :premises (@p500) :args (@t132)) % 44.23/44.49 (step @p219 :rule eq_resolve :premises (@p217 @p214)) % 44.23/44.49 (step @p220 :rule implies_elim :premises (@p219)) % 44.23/44.49 (step @p221 :rule eq_resolve :premises (@p220 @p196)) % 44.23/44.49 (step @p222 :rule chain_m_resolution :premises (@p221 @p193) :args (@t129 @t133 (@list @t113))) % 44.23/44.49 (step @p223 :rule eq-symm :args (@t137 @t138)) % 44.23/44.49 (step @p224 :rule eq-refl :args (@t138)) % 44.23/44.49 (step @p225 :rule beta-reduce :args ((= @t139 @t138))) % 44.23/44.49 (step @p226 :rule refl :args (@t138)) % 44.23/44.49 (step @p227 :rule cong :premises (@p226 @p225) :args ((= @t138 @t139))) % 44.23/44.49 (step @p228 :rule trans :premises (@p227 @p224)) % 44.23/44.49 (step @p229 :rule eq-symm :args (@t139 @t138)) % 44.23/44.49 (step @p230 :rule trans :premises (@p229 @p228)) % 44.23/44.49 (step @p231 :rule refl :args (@t134)) % 44.23/44.49 (step @p232 :rule refl :args (@t135)) % 44.23/44.49 (step @p233 :rule ho_cong :premises (@p205 @p232 @p231)) % 44.23/44.49 (step @p234 :rule cong :premises (@p233 @p226) :args ((= @t140 @t138))) % 44.23/44.49 (step @p235 :rule trans :premises (@p234 @p230)) % 44.23/44.49 (step @p236 :rule true_elim :premises (@p235)) % 44.23/44.49 (step @p237 :rule eq-refl :args (@t137)) % 44.23/44.49 (step @p238 :rule beta-reduce :args ((= @t141 @t137))) % 44.23/44.49 (step @p239 :rule refl :args (@t137)) % 44.23/44.49 (step @p240 :rule cong :premises (@p239 @p238) :args ((= @t137 @t141))) % 44.23/44.49 (step @p241 :rule trans :premises (@p240 @p237)) % 44.23/44.49 (step @p242 :rule eq-symm :args (@t141 @t137)) % 44.23/44.49 (step @p243 :rule trans :premises (@p242 @p241)) % 44.23/44.49 (step @p244 :rule ho_cong :premises (@p199 @p232 @p231)) % 44.23/44.49 (step @p245 :rule cong :premises (@p244 @p239) :args ((= @t142 @t137))) % 44.23/44.49 (step @p246 :rule trans :premises (@p245 @p243)) % 44.23/44.49 (step @p247 :rule true_elim :premises (@p246)) % 44.23/44.49 (step @p248 :rule cong :premises (@p247 @p236) :args (@t143)) % 44.23/44.49 (step @p249 :rule trans :premises (@p248 @p223)) % 44.23/44.49 (step @p250 :rule cong :premises (@p249) :args (@t144)) % 44.23/44.49 (step @p251 :rule refl :args (@t128)) % 44.23/44.49 (step @p252 :rule nary_cong :premises (@p251 @p250) :args (@t145)) % 44.23/44.49 ; WARNING: add trust step for TRUST % 44.23/44.49 ; trust TRUST THEORY_LEMMA % 44.23/44.49 (step @p253 :rule trust :premises () :args (@t145)) % 44.23/44.49 (step @p254 :rule eq_resolve :premises (@p253 @p252)) % 44.23/44.49 (step @p255 :rule chain_m_resolution :premises (@p254 @p222) :args ((not @t146) @t133 (@list @t128))) % 44.23/44.49 (step @p256 :rule cnf_equiv_neg2 :args (@t146)) % 44.23/44.49 (assume-push @p501 @t138) % 44.23/44.49 (step @p258 :rule instantiate :premises (@p501) :args ((@list @t147))) % 44.23/44.49 (step-pop @p502 :rule scope :premises (@p258)) % 44.23/44.49 (step @p259 :rule process_scope :premises (@p502) :args (@t154)) % 44.23/44.49 (step @p261 :rule implies_elim :premises (@p259)) % 44.23/44.49 (step @p262 :rule refl :args (@t158)) % 44.23/44.49 (step @p263 :rule bool-double-not-elim :args (@t137)) % 44.23/44.49 (step @p264 :rule nary_cong :premises (@p263 @p262) :args ((or (not @t159) @t158))) % 44.23/44.49 (assume-push @p503 @t159) % 44.23/44.49 (step @p266 :rule skolemize :premises (@p503)) % 44.23/44.49 (step-pop @p504 :rule scope :premises (@p266)) % 44.23/44.49 (step @p267 :rule process_scope :premises (@p504) :args (@t158)) % 44.23/44.49 (step @p269 :rule implies_elim :premises (@p267)) % 44.23/44.49 (step @p270 :rule eq_resolve :premises (@p269 @p264)) % 44.23/44.49 (step @p271 :rule bool-double-not-elim :args (@t155)) % 44.23/44.49 (step @p272 :rule refl :args (@t157)) % 44.23/44.49 (step @p273 :rule nary_cong :premises (@p272 @p271) :args ((or @t157 (not @t156)))) % 44.23/44.49 (step @p274 :rule cnf_or_neg :args (@t157 0)) % 44.23/44.49 (step @p275 :rule eq_resolve :premises (@p274 @p273)) % 44.23/44.49 (step @p276 :rule reordering :premises (@p275) :args ((or @t155 @t157))) % 44.23/44.49 (step @p277 :rule bool-double-not-elim :args (@t150)) % 44.23/44.49 (step @p278 :rule nary_cong :premises (@p272 @p277) :args ((or @t157 (not @t151)))) % 44.23/44.49 (step @p279 :rule cnf_or_neg :args (@t157 1)) % 44.23/44.49 (step @p280 :rule eq_resolve :premises (@p279 @p278)) % 44.23/44.49 (step @p281 :rule reordering :premises (@p280) :args ((or @t150 @t157))) % 44.23/44.49 (step @p282 :rule cnf_or_neg :args (@t157 2)) % 44.23/44.49 (assume-push @p505 @t155) % 44.23/44.49 (step @p284 :rule instantiate :premises (@p505) :args (@t162)) % 44.23/44.49 (step-pop @p506 :rule scope :premises (@p284)) % 44.23/44.49 (step @p285 :rule process_scope :premises (@p506) :args (@t170)) % 44.23/44.49 (step @p287 :rule implies_elim :premises (@p285)) % 44.23/44.49 (step @p288 :rule cnf_or_pos :args (@t154)) % 44.23/44.49 (step @p289 :rule reordering :premises (@p288) :args ((or @t151 @t148 @t153 (not @t154)))) % 44.23/44.49 (step @p290 :rule refl :args (@t177)) % 44.23/44.49 (step @p291 :rule bool-double-not-elim :args (@t152)) % 44.23/44.49 (step @p292 :rule nary_cong :premises (@p291 @p290) :args ((or (not @t153) @t177))) % 44.23/44.49 (assume-push @p507 @t153) % 44.23/44.49 (step @p294 :rule skolemize :premises (@p507)) % 44.23/44.49 (step-pop @p508 :rule scope :premises (@p294)) % 44.23/44.49 (step @p295 :rule process_scope :premises (@p508) :args (@t177)) % 44.23/44.49 (step @p297 :rule implies_elim :premises (@p295)) % 44.23/44.49 (step @p298 :rule eq_resolve :premises (@p297 @p292)) % 44.23/44.49 (step @p299 :rule cnf_or_neg :args (@t176 0)) % 44.23/44.49 (step @p300 :rule cnf_or_neg :args (@t176 1)) % 44.23/44.49 (step @p301 :rule cnf_or_pos :args (@t170)) % 44.23/44.49 (step @p302 :rule reordering :premises (@p301) :args ((or @t163 @t169 (not @t170)))) % 44.23/44.49 (step @p303 :rule cnf_and_pos :args (@t169 0)) % 44.23/44.49 (step @p304 :rule reordering :premises (@p303) :args ((or @t168 @t178))) % 44.23/44.49 (step @p305 :rule cnf_and_pos :args (@t169 1)) % 44.23/44.49 (step @p306 :rule reordering :premises (@p305) :args ((or @t166 @t178))) % 44.23/44.49 (step @p307 :rule refl :args (@t185)) % 44.23/44.49 (step @p308 :rule bool-double-not-elim :args (@t167)) % 44.23/44.49 (step @p309 :rule nary_cong :premises (@p308 @p307) :args ((or (not @t168) @t185))) % 44.23/44.49 (assume-push @p509 @t168) % 44.23/44.49 (step @p311 :rule skolemize :premises (@p509)) % 44.23/44.49 (step-pop @p510 :rule scope :premises (@p311)) % 44.23/44.49 (step @p312 :rule process_scope :premises (@p510) :args (@t185)) % 44.23/44.49 (step @p314 :rule implies_elim :premises (@p312)) % 44.23/44.49 (step @p315 :rule eq_resolve :premises (@p314 @p309)) % 44.23/44.49 (step @p316 :rule refl :args (@t192)) % 44.23/44.49 (step @p317 :rule bool-double-not-elim :args (@t165)) % 44.23/44.49 (step @p318 :rule nary_cong :premises (@p317 @p316) :args ((or (not @t166) @t192))) % 44.23/44.49 (assume-push @p511 @t166) % 44.23/44.49 (step @p320 :rule skolemize :premises (@p511)) % 44.23/44.49 (step-pop @p512 :rule scope :premises (@p320)) % 44.23/44.49 (step @p321 :rule process_scope :premises (@p512) :args (@t192)) % 44.23/44.49 (step @p323 :rule implies_elim :premises (@p321)) % 44.23/44.49 (step @p324 :rule eq_resolve :premises (@p323 @p318)) % 44.23/44.49 (step @p325 :rule bool-double-not-elim :args (@t182)) % 44.23/44.49 (step @p326 :rule refl :args (@t184)) % 44.23/44.49 (step @p327 :rule nary_cong :premises (@p326 @p325) :args ((or @t184 (not @t183)))) % 44.23/44.49 (step @p328 :rule cnf_or_neg :args (@t184 0)) % 44.23/44.49 (step @p329 :rule eq_resolve :premises (@p328 @p327)) % 44.23/44.49 (step @p330 :rule reordering :premises (@p329) :args ((or @t182 @t184))) % 44.23/44.49 (step @p331 :rule cnf_or_neg :args (@t184 2)) % 44.23/44.49 (step @p332 :rule bool-double-not-elim :args (@t189)) % 44.23/44.49 (step @p333 :rule refl :args (@t191)) % 44.23/44.49 (step @p334 :rule nary_cong :premises (@p333 @p332) :args ((or @t191 (not @t190)))) % 44.23/44.49 (step @p335 :rule cnf_or_neg :args (@t191 0)) % 44.23/44.49 (step @p336 :rule eq_resolve :premises (@p335 @p334)) % 44.23/44.49 (step @p337 :rule reordering :premises (@p336) :args ((or @t189 @t191))) % 44.23/44.49 (step @p338 :rule cnf_or_neg :args (@t191 2)) % 44.23/44.49 (assume-push @p513 @t182) % 44.23/44.49 (step @p340 :rule instantiate :premises (@p513) :args (@t162)) % 44.23/44.49 (step-pop @p514 :rule scope :premises (@p340)) % 44.23/44.49 (step @p341 :rule process_scope :premises (@p514) :args (@t193)) % 44.23/44.49 (step @p343 :rule implies_elim :premises (@p341)) % 44.23/44.49 (step @p344 :rule cnf_or_pos :args (@t193)) % 44.23/44.49 (step @p345 :rule reordering :premises (@p344) :args ((or @t174 @t180 (not @t193)))) % 44.23/44.49 (step @p346 :rule bool-double-not-elim :args (@t171)) % 44.23/44.49 (step @p347 :rule bool-double-not-elim :args (@t173)) % 44.23/44.49 (step @p348 :rule refl :args (@t175)) % 44.23/44.49 (step @p349 :rule nary_cong :premises (@p348 @p347 @p346) :args ((or @t175 (not @t174) (not @t172)))) % 44.23/44.49 (step @p350 :rule cnf_and_neg :args (@t175)) % 44.23/44.49 (step @p351 :rule eq_resolve :premises (@p350 @p349)) % 44.23/44.49 (step @p352 :rule reordering :premises (@p351) :args ((or @t173 @t171 @t175))) % 44.23/44.49 (step @p353 :rule cnf_or_pos :args (@t194)) % 44.23/44.49 (step @p354 :rule reordering :premises (@p353) :args ((or @t172 @t187 (not @t194)))) % 44.23/44.49 (assume-push @p515 @t189) % 44.23/44.49 (step @p356 :rule instantiate :premises (@p515) :args (@t162)) % 44.23/44.49 (step-pop @p516 :rule scope :premises (@p356)) % 44.23/44.49 (step @p357 :rule process_scope :premises (@p516) :args (@t194)) % 44.23/44.49 (step @p359 :rule implies_elim :premises (@p357)) % 44.23/44.49 (step @p360 :rule chain_m_resolution :premises (@p359 @p354 @p352 @p345 @p343 @p338 @p337 @p331 @p330 @p324 @p315 @p306 @p304 @p302 @p300 @p299 @p298 @p289 @p287 @p282 @p281 @p276 @p270 @p261 @p256 @p255) :args (@t195 (@list true false true false true false true false true true true true false true true true true false true false false true false true true) (@list @t194 @t171 @t173 @t193 @t187 @t189 @t180 @t182 @t191 @t184 @t165 @t167 @t169 @t163 @t175 @t176 @t152 @t170 @t148 @t150 @t155 @t157 @t154 @t137 @t146))) % 44.23/44.49 (step @p361 :rule cnf_equiv_neg1 :args (@t146)) % 44.23/44.49 (step @p362 :rule reordering :premises (@p361) :args ((or @t138 @t137 @t146))) % 44.23/44.49 (step @p363 :rule chain_m_resolution :premises (@p362 @p360 @p255) :args (@t137 @t196 (@list @t138 @t146))) % 44.23/44.49 (assume-push @p517 @t137) % 44.23/44.49 (step @p365 :rule instantiate :premises (@p517) :args (@t198)) % 44.23/44.49 (step-pop @p518 :rule scope :premises (@p365)) % 44.23/44.49 (step @p366 :rule process_scope :premises (@p518) :args (@t205)) % 44.23/44.49 (step @p368 :rule implies_elim :premises (@p366)) % 44.23/44.49 (step @p369 :rule chain_m_resolution :premises (@p368 @p363) :args (@t205 @t206 (@list @t137))) % 44.23/44.49 (step @p370 :rule refl :args (@t210)) % 44.23/44.49 (step @p371 :rule bool-double-not-elim :args (@t138)) % 44.23/44.49 (step @p372 :rule nary_cong :premises (@p371 @p370) :args ((or (not @t195) @t210))) % 44.23/44.49 (assume-push @p519 @t195) % 44.23/44.49 (step @p374 :rule skolemize :premises (@p519)) % 44.23/44.49 (step-pop @p520 :rule scope :premises (@p374)) % 44.23/44.49 (step @p375 :rule process_scope :premises (@p520) :args (@t210)) % 44.23/44.49 (step @p377 :rule implies_elim :premises (@p375)) % 44.23/44.49 (step @p378 :rule eq_resolve :premises (@p377 @p372)) % 44.23/44.49 (step @p379 :rule chain_m_resolution :premises (@p378 @p360) :args (@t210 @t133 (@list @t138))) % 44.23/44.49 (step @p380 :rule cnf_or_neg :args (@t209 2)) % 44.23/44.50 (step @p381 :rule chain_m_resolution :premises (@p380 @p379) :args ((not @t199) @t133 @t211)) % 44.23/44.50 (step @p382 :rule bool-double-not-elim :args (@t201)) % 44.23/44.50 (step @p383 :rule refl :args (@t209)) % 44.23/44.50 (step @p384 :rule nary_cong :premises (@p383 @p382) :args ((or @t209 (not @t202)))) % 44.23/44.50 (step @p385 :rule cnf_or_neg :args (@t209 1)) % 44.23/44.50 (step @p386 :rule eq_resolve :premises (@p385 @p384)) % 44.23/44.50 (step @p387 :rule reordering :premises (@p386) :args ((or @t201 @t209))) % 44.23/44.50 (step @p388 :rule chain_m_resolution :premises (@p387 @p379) :args (@t201 @t133 @t211)) % 44.23/44.50 (step @p389 :rule cnf_or_pos :args (@t205)) % 44.23/44.50 (step @p390 :rule reordering :premises (@p389) :args ((or @t202 @t199 @t204 (not @t205)))) % 44.23/44.50 (step @p391 :rule chain_m_resolution :premises (@p390 @p388 @p381 @p369) :args (@t204 (@list false true false) (@list @t201 @t199 @t205))) % 44.23/44.50 (step @p392 :rule refl :args (@t222)) % 44.23/44.50 (step @p393 :rule bool-double-not-elim :args (@t203)) % 44.23/44.50 (step @p394 :rule nary_cong :premises (@p393 @p392) :args ((or (not @t204) @t222))) % 44.23/44.50 (assume-push @p521 @t204) % 44.23/44.50 (step @p396 :rule skolemize :premises (@p521)) % 44.23/44.50 (step-pop @p522 :rule scope :premises (@p396)) % 44.23/44.50 (step @p397 :rule process_scope :premises (@p522) :args (@t222)) % 44.23/44.50 (step @p399 :rule implies_elim :premises (@p397)) % 44.23/44.50 (step @p400 :rule eq_resolve :premises (@p399 @p394)) % 44.23/44.50 (step @p401 :rule chain_m_resolution :premises (@p400 @p391) :args (@t222 @t133 (@list @t203))) % 44.23/44.50 (step @p402 :rule cnf_or_neg :args (@t221 0)) % 44.23/44.50 (step @p403 :rule chain_m_resolution :premises (@p402 @p401) :args ((not @t220) @t133 @t223)) % 44.23/44.50 (step @p404 :rule cnf_or_neg :args (@t221 1)) % 44.23/44.50 (step @p405 :rule chain_m_resolution :premises (@p404 @p401) :args ((not @t214) @t133 @t223)) % 44.23/44.50 (step @p406 :rule alpha_equiv :args ((forall (@list @t225 @t226 @t224) (or (not (_ @t197 @t225 @t226)) (not (_ @t197 @t226 @t224)) (_ @t197 @t225 @t224))) @t227 (@list @t17 @t20 @t5))) % 44.23/44.50 (step @p407 :rule alpha_equiv :args (@t201 (@list @t6 @t9 @t5) @t227)) % 44.23/44.50 (step @p408 :rule trans :premises (@p407 @p406)) % 44.23/44.50 (step @p409 :rule equiv_elim1 :premises (@p408)) % 44.23/44.50 (step @p410 :rule chain_m_resolution :premises (@p409 @p388) :args (@t229 @t206 (@list @t201))) % 44.23/44.50 (step @p411 :rule bool-double-not-elim :args (@t233)) % 44.23/44.50 (step @p412 :rule refl :args (@t236)) % 44.23/44.50 (step @p413 :rule nary_cong :premises (@p412 @p411) :args ((or @t236 (not @t235)))) % 44.23/44.50 (step @p414 :rule cnf_or_neg :args (@t236 0)) % 44.23/44.50 (step @p415 :rule eq_resolve :premises (@p414 @p413)) % 44.23/44.50 (step @p416 :rule reordering :premises (@p415) :args ((or @t233 @t236))) % 44.23/44.50 (step @p417 :rule cnf_or_neg :args (@t236 1)) % 44.23/44.50 (step @p418 :rule cnf_and_pos :args (@t237 0)) % 44.23/44.50 (step @p419 :rule reordering :premises (@p418) :args ((or @t235 (not @t237)))) % 44.23/44.50 (step @p420 :rule bool-double-not-elim :args (@t207)) % 44.23/44.50 (step @p421 :rule nary_cong :premises (@p383 @p420) :args ((or @t209 (not @t208)))) % 44.23/44.50 (step @p422 :rule cnf_or_neg :args (@t209 0)) % 44.23/44.50 (step @p423 :rule eq_resolve :premises (@p422 @p421)) % 44.23/44.50 (step @p424 :rule reordering :premises (@p423) :args ((or @t207 @t209))) % 44.23/44.50 (step @p425 :rule chain_m_resolution :premises (@p424 @p379) :args (@t207 @t133 @t211)) % 44.23/44.50 (assume-push @p523 @t207) % 44.23/44.50 (step @p427 :rule instantiate :premises (@p523) :args ((@list @t232 @t231))) % 44.23/44.50 (step-pop @p524 :rule scope :premises (@p427)) % 44.23/44.50 (step @p428 :rule process_scope :premises (@p524) :args (@t238)) % 44.23/44.50 (step @p430 :rule implies_elim :premises (@p428)) % 44.23/44.50 (step @p431 :rule chain_m_resolution :premises (@p430 @p425) :args (@t238 @t206 @t239)) % 44.23/44.50 (step @p432 :rule cnf_or_pos :args (@t238)) % 44.23/44.50 (step @p433 :rule reordering :premises (@p432) :args ((or @t234 @t237 (not @t238)))) % 44.23/44.50 (step @p434 :rule chain_m_resolution :premises (@p433 @p431 @p419 @p417 @p416) :args (@t236 @t240 (@list @t238 @t237 @t234 @t233))) % 44.23/44.50 (step @p435 :rule refl :args (@t241)) % 44.23/44.50 (step @p436 :rule bool-double-not-elim :args (@t230)) % 44.23/44.50 (step @p437 :rule nary_cong :premises (@p436 @p435) :args ((or (not @t242) @t241))) % 44.23/44.50 (assume-push @p525 @t242) % 44.23/44.50 (step @p439 :rule skolemize :premises (@p525)) % 44.23/44.50 (step-pop @p526 :rule scope :premises (@p439)) % 44.23/44.50 (step @p440 :rule process_scope :premises (@p526) :args (@t241)) % 44.23/44.50 (step @p442 :rule implies_elim :premises (@p440)) % 44.23/44.50 (step @p443 :rule eq_resolve :premises (@p442 @p437)) % 44.23/44.50 (step @p444 :rule chain_m_resolution :premises (@p443 @p434) :args (@t230 @t206 (@list @t236))) % 44.23/44.50 (step @p445 :rule cnf_or_pos :args (@t244)) % 44.23/44.50 (step @p446 :rule reordering :premises (@p445) :args ((or @t242 @t243 @t214 @t245))) % 44.23/44.50 (step @p447 :rule chain_m_resolution :premises (@p446 @p444 @p410 @p405) :args (@t245 @t246 (@list @t230 @t229 @t214))) % 44.23/44.50 (assume-push @p527 @t218) % 44.23/44.50 (step @p449 :rule instantiate :premises (@p527) :args (@t198)) % 44.23/44.50 (step-pop @p528 :rule scope :premises (@p449)) % 44.23/44.50 (step @p450 :rule process_scope :premises (@p528) :args (@t244)) % 44.23/44.50 (step @p452 :rule implies_elim :premises (@p450)) % 44.23/44.50 (step @p453 :rule chain_m_resolution :premises (@p452 @p447) :args (@t219 @t133 (@list @t244))) % 44.23/44.50 (step @p454 :rule bool-double-not-elim :args (@t216)) % 44.23/44.50 (step @p455 :rule bool-double-not-elim :args (@t218)) % 44.23/44.50 (step @p456 :rule refl :args (@t220)) % 44.23/44.50 (step @p457 :rule nary_cong :premises (@p456 @p455 @p454) :args ((or @t220 (not @t219) (not @t217)))) % 44.23/44.50 (step @p458 :rule cnf_and_neg :args (@t220)) % 44.23/44.50 (step @p459 :rule eq_resolve :premises (@p458 @p457)) % 0.35/44.50 (step @p460 :rule reordering :premises (@p459) :args ((or @t218 @t216 @t220))) % 0.35/44.50 (step @p461 :rule chain_m_resolution :premises (@p460 @p453 @p403) :args (@t216 @t196 (@list @t218 @t220))) % 0.35/44.50 (step @p462 :rule bool-double-not-elim :args (@t250)) % 0.35/44.50 (step @p463 :rule refl :args (@t253)) % 0.35/44.50 (step @p464 :rule nary_cong :premises (@p463 @p462) :args ((or @t253 (not @t252)))) % 0.35/44.50 (step @p465 :rule cnf_or_neg :args (@t253 0)) % 0.35/44.50 (step @p466 :rule eq_resolve :premises (@p465 @p464)) % 0.35/44.50 (step @p467 :rule reordering :premises (@p466) :args ((or @t250 @t253))) % 0.35/44.50 (step @p468 :rule cnf_or_neg :args (@t253 1)) % 0.35/44.50 (step @p469 :rule cnf_and_pos :args (@t254 1)) % 0.35/44.50 (step @p470 :rule reordering :premises (@p469) :args ((or @t252 (not @t254)))) % 0.35/44.50 (assume-push @p529 @t207) % 0.35/44.50 (step @p472 :rule instantiate :premises (@p529) :args ((@list @t249 @t248))) % 0.35/44.50 (step-pop @p530 :rule scope :premises (@p472)) % 0.35/44.50 (step @p473 :rule process_scope :premises (@p530) :args (@t255)) % 0.35/44.50 (step @p475 :rule implies_elim :premises (@p473)) % 0.35/44.50 (step @p476 :rule chain_m_resolution :premises (@p475 @p425) :args (@t255 @t206 @t239)) % 0.35/44.50 (step @p477 :rule cnf_or_pos :args (@t255)) % 0.35/44.50 (step @p478 :rule reordering :premises (@p477) :args ((or @t251 @t254 (not @t255)))) % 0.35/44.50 (step @p479 :rule chain_m_resolution :premises (@p478 @p476 @p470 @p468 @p467) :args (@t253 @t240 (@list @t255 @t254 @t251 @t250))) % 0.35/44.50 (step @p480 :rule refl :args (@t256)) % 0.35/44.50 (step @p481 :rule bool-double-not-elim :args (@t247)) % 0.35/44.50 (step @p482 :rule nary_cong :premises (@p481 @p480) :args ((or (not @t257) @t256))) % 0.35/44.50 (assume-push @p531 @t257) % 0.35/44.50 (step @p484 :rule skolemize :premises (@p531)) % 0.35/44.50 (step-pop @p532 :rule scope :premises (@p484)) % 0.35/44.50 (step @p485 :rule process_scope :premises (@p532) :args (@t256)) % 0.35/44.50 (step @p487 :rule implies_elim :premises (@p485)) % 0.35/44.50 (step @p488 :rule eq_resolve :premises (@p487 @p482)) % 0.35/44.50 (step @p489 :rule chain_m_resolution :premises (@p488 @p479) :args (@t247 @t206 (@list @t253))) % 0.35/44.50 (step @p490 :rule cnf_or_pos :args (@t258)) % 0.35/44.50 (step @p491 :rule reordering :premises (@p490) :args ((or @t243 @t257 @t214 @t259))) % 0.35/44.50 (step @p492 :rule chain_m_resolution :premises (@p491 @p410 @p489 @p405) :args (@t259 @t246 (@list @t229 @t247 @t214))) % 0.35/44.50 (assume-push @p533 @t216) % 0.35/44.50 (step @p494 :rule instantiate :premises (@p533) :args (@t198)) % 0.35/44.50 (step-pop @p534 :rule scope :premises (@p494)) % 0.35/44.50 (step @p495 :rule process_scope :premises (@p534) :args (@t258)) % 0.35/44.50 (step @p497 :rule implies_elim :premises (@p495)) % 0.35/44.50 (step @p498 false :rule chain_m_resolution :premises (@p497 @p492 @p461) :args (false (@list true false) (@list @t258 @t216))) % 0.35/44.50 ) % 0.35/44.50 % SZS output end Proof % 0.35/44.50 % cvc5 exiting %------------------------------------------------------------------------------